242133112 has 64 divisors (see below), whose sum is σ = 518263200. Its totient is φ = 105131520.

The previous prime is 242133107. The next prime is 242133119. The reversal of 242133112 is 211331242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 242133112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242133119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357318 + ... + 357994.

Almost surely, 2^242133112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259131600).

242133112 is an abundant number, since it is smaller than the sum of its proper divisors (276130088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242133112 is a wasteful number, since it uses less digits than its factorization.

242133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 892 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 242133112 is about 15560.6269796561. The cubic root of 242133112 is about 623.2822052554.

Adding to 242133112 its reverse (211331242), we get a palindrome (453464354).

The spelling of 242133112 in words is "two hundred forty-two million, one hundred thirty-three thousand, one hundred twelve".